Fast Scramblers and Non-Commutative Gauge Theories

Abstract

Fast scramblers are quantum systems which thermalize in a time scale logarithmic in the number of degrees of freedom of the system. Non-locality has been argued to be an essential feature of fast scramblers. We provide evidence in support of the crucial role of non-locality in such systems by considering the approach to thermalization in a (strongly-coupled) high temperature non-commutative gauge theory. We show that non-locality inherent to non-commutative gauge theories does indeed accelerate the rate of dissipation in the heat bath in stark contrast to the slow random walk diffusive behavior prevalent in local field theories.

v2: 22 pages, reformatted, version to be published in JHEP

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• Weak Field Collapse in AdS: Introducing a Charge Density
• Holographic entanglement entropy in nonlocal theories
• Chaos and entanglement spreading in a non-commutative gauge theory
• Entanglement entropy on the fuzzy sphere
• Fast Scramblers, Horizons and Expander Graphs
• Holographic Brownian Motion in Magnetic Environments
• Thermalization in External Magnetic Field
• Speeding up the spread of quantum information in chaotic systems
• Quantum information scrambling and quantum chaos in little string theory
• Fast Scramblers And Ultrametric Black Hole Horizons
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality
• Hall Scrambling on Black Hole Horizons
• Decelerating cosmologies are de-scramblers
• Entanglement entropy on a fuzzy sphere with a UV cutoff
• Quantum chaos in a weakly-coupled field theory with nonlocality
• Holographic Description of Noncommutative Schwinger Effect